Answer:
y = 2eˣ - sin x + 1
Step-by-step explanation:
dy/dx = 2eˣ - cos x
(0, 3)
Integrate dy/dx to find the original function.
y = 2eˣ - sin x + CSolve for C by substituting the point given.
3 = 2e⁰ - sin(0) + C 3 = 2 - 0 + C 1 = CNow we can substitute C into the original function.
y = 2eˣ - sin x + 1This is the particular, or explicit, solution to the differentiable equation.
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- C
Answer:
4x²-5x +4 X=3
Step-by-step explanation:
The expression below has 3 terms. The first step is to plug in the 3 for all the x´s. Then find what 3 squared is. Next is to multiply the 9(3²) with the 4 to get 36. Now the expression is 36 - 5 x 3 + 4. Next is to multiply the -5 and the 3 to get 15. Now combine all like terms to get 55.
Which of the following is a FALSE statement? (15 points if answered)
89+23-21 explain your answer
Answer:
91
Step-by-step explanation:
PEMDAS rules apply...so addition then subtraction
1
Determine the value of k if g(x)=4x+k is a tangent to f(x)=-x²+8x+20
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
From the tangent given, the value of k will be 24.
How to solve the tangentFrom the information given, g(x) = 4x + k and this is a tangent to f(x)= -x² +8x + 20.
f(x)= -x² +8x + 20
= f'(x) = -2x + 8
The slope of tangent = -2x + 8 at (x , y)
g(x) = 4x + k
Hence, slope = 4
-2x + 8 = 4
Collect like terms
-2x = 4 - 8
-2x = - 4
Divide both side by -2
-2x/-2 = -4/-2
x = 2
f(x)= -x² +8x +20
where, x = 2
y = -2² + 8(2) + 20
y = 32
Hence (2 , 32) lies on g(x)= 4x+k
32 = 4(2) + k
32 = 8 + k
k = 32 - 8
k = 24
In conclusion, the value of k is 24.
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Please help! 12/20, will give brainliest. I do not tolerate spam answers!
Factor the equation. [tex]x^2-21x-72[/tex]
Answer:
(x - 24)(x + 3)
Step-by-step explanation:
Given
x² - 21x - 72
Consider the factors of the constant term (- 72) which sum to give the coefficient of the x- term (- 21)
The factors are - 24 and + 3, since
- 24 × + 3 = - 72 and - 24 + 3 = - 21 , then
x² - 21x - 72 = (x - 24)(x + 3) ← in factored form
8n-9m=6-3m in standard form
Answer:
-6m+8n-6=0
Step-by-step explanation:
ANSWER CORRECTLY !!!!!! WILL MARK BRIANLIEST !!!URGENT !!!!!!!
Angle EHF is congruent to the angle HFG
Answer:
angle EHF is congruent to angle HFG
Step-by-step explanation:
7. In the accompanying diagram of right triangle ABC, altitude BD divides hypotenuse
AC into segments of 3 and 9. Find AB.
A) 6
B) 36
C) 313
D) 12
Answer:
A.
Step-by-step explanation:
Alicia's monthly gross pay is $1,700. Alicia pays 10.5% of her monthly income in federal withholding. How much federal withholding does she pay?
Answer:
$161.90
Step-by-step explanation:
You divide 1700 by 10.5.
Can someone please help? I need to show work and explain.
9514 1404 393
Answer:
Dan obviously didn't measure the remainder, which is (C) 3 11/12 ft.
Step-by-step explanation:
After the cut, Dan has ...
8 3/4 - 4 5/6 = 8 9/12 - 4 10/12
= (8 -4) +(9/12 -10/12) = 4 -1/12 = 3 11/12 . . . ft
Help me please I really need this to be done
Answer:
852
Step-by-step explanation:
1420 ×60% as an equation would be: 1420×.60
PLEASE HELP THIS IS URGENT!!
Step-by-step explanation:
1 pound is 16 ounces
2 pounds are 16 x2 which is 32 ounces
she needs 20 ounces
32 -20 is 12
she will have 12 ounces left
How do you explain that 0.9 is equivalent to 0.90?
Answer:
it is equivalent because if you the zero to 0.9 then you will see that 0.9 and 0.90 are the same numbers.
Step-by-step explanation:
Due very soon! Please help
Answer:
Step-by-step explanation:
Answer:
y = -5/4x+7
Step-by-step explanation:
What is the value of x?
Answer:
X=15
Step-by-step explanation:
A +B + C = 180
2x +4x+ 6x = 180
12x =180
X= 15
Given a rhombus with a side length of 8m. There is another rhombus inside.
Calculate the sim of the perimeters of both quadrilaterals!
If m∠XWY=20∘,m∠XWZ=40∘, and XY = 16, what is the value of YZ?
Answer:
YZ=16
Step-by-step explanation:
Because they are parallel
-5, 20, – 80, 320,
represents a geometric sequence. Let Q= -5.
Which equation is an explicit formula that represents the sequence?
A convex hexagon has interior angles that measure 100°, 127°, 90°, 182°, and 85°. What is the measure of the 6th interior angle?
a. 187°
b. 88°
c. 136°
d. 160°
Which of the following cannot be determined?
a. The angle between two vectors.
b. The magnitude of a vector.
c. The point product of a vector.
d. The angle of a vector in standard position.
Answer:
C point product of a vector.
Step-by-step explanation:
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Which table is proportional and which is not guys please help
Answer:
the first graph it proportional
Answer:
the green table is proportional and the blue isnt
Step-by-step explanation:
What is the value of the expression 16 + 4 − (5 x 2) + 2?
10
12
14
18
Answer:
B:12
Step-by-step explanation:if you get a calculator and put the equation 16 + 4 - (5 x 2) + 2 you will get 12.
The value of the expression is 12.
What is BODMAS rule ?
The BODMAS rule states that an expression with more than one operators need to be solved from left to right in order of BODMAS, where B = Brackets, O = Orders, D = Division, M = Multiplication, A = Addition, S = Subtraction.
What is the required value ?The given expression is 16+4-(5×2)+2
First we have to do multiplication in bracket,
= 16+4-10+2
= 20-10+2
= 10+2
= 12
The value = 12
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How can you tell whether a parabola is concave up (happy face) or concave down (sad face) by looking at the vertex form equation 
Khan Academy
Multiplying decimals like 2.45x3.6 (standard algorithm)
6.13 x 8.6 = ?
Report a
Stuck? Watch a video or use a hint.
Answer:
52.718
Step-by-step explanation:
6.13 x 8.6 equal 52.718
in short
52.71
Answer:
52.718
Step-by-step explanation:
6.13x8.6=52.718
Find the volume of the cylinder. Round your answer to the nearest tenth.
___ pi ≈ ___ cm ^3
Answer:
21 because 7 x 3 is 21
Step-by-step explanation:
6. Identify the restrictions on the domain.
x−7/x+4 ÷ x/x+3
Answer:
x cannot = -4 and -3
Step-by-step explanation:
slope=4; y-intercept =-5
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Whats 9+10
Answer:
B ruh. It’s 19
Step-by-step explanation:
Answer:
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21,/ or,/ 19Determine if 4,1 is a solution for the equation for the system of equations
Answer:
5
Step-by-step explane:
wrw
Are the triangles similar? If so, state the reason.
Answer:
1. Yes, SAS
2. Yes, SSS
3. they not simular
4. Yes, SAS
4. Yes, AA
Step-by-step explanation: